Two standard number dice are rolled. Find the probability of rolling a sum equal to 3
Question
Two standard number dice are rolled. Find the probability of rolling a sum equal to 3.
Solution
To find the probability of rolling a sum equal to 3 with two standard number dice, we first need to determine the total number of possible outcomes. Since each die has 6 faces, the total number of outcomes when rolling two dice is 6*6 = 36.
Next, we need to find the number of outcomes that result in a sum of 3. The pairs that give a sum of 3 are (1,2) and (2,1). So, there are 2 outcomes that result in a sum of 3.
The probability of an event is given by the number of favorable outcomes divided by the total number of outcomes. So, the probability of rolling a sum of 3 is 2/36 = 1/18.
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